Determine the Zeros of a Polynomial by Factoring

The video tutorial explains how to analyze polynomial functions by determining their end behavior, finding zeros, and understanding multiplicity. It covers the leading coefficient test, methods to find intercepts, and how multiplicity affects graph behavior. The tutorial provides a step-by-step approach to sketching polynomial graphs based on these concepts.

What is the degree of the polynomial function discussed in the text?

Explain the leading coefficient test and its significance in determining end behavior.

Describe how the end behavior of the polynomial function is determined based on its degree and leading coefficient.

How do you find the intercepts (zeros) of a polynomial function?

What methods can be used to solve for the zeros of the polynomial function?

Define multiplicity in the context of polynomial functions and explain its importance.

What is the significance of even and odd multiplicities on the graph of a polynomial function?